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Finding the Fourth Proportional to 8,502.57, 12,757.10 and 7,677.99

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Solution

The fourth proportional to 8,502.57, 12,757.10 and 7,677.99 is: 11,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.57 : 12,757.10 = 7,677.99 : x
  2. Step 2: Convert to fraction form
    8,502.57/12,757.10 = 7,677.99/x
  3. Step 3: Cross multiply
    8,502.57x = 12,757.10 × 7,677.99
  4. Step 4: Simplify right side
    8,502.57x = 97,948,847.84
  5. Step 5: Solve for x
    x = 97,948,847.84/8,502.57
  6. Step 6: Final answer
    x = 11,519.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.